{"id":22,"date":"2019-11-09T18:23:18","date_gmt":"2019-11-09T18:23:18","guid":{"rendered":"http:\/\/blog.theopenpc.com\/?p=22"},"modified":"2019-11-09T18:34:47","modified_gmt":"2019-11-09T18:34:47","slug":"image-gradients-and-convolution-mask","status":"publish","type":"post","link":"https:\/\/blog.theopenpc.com\/index.php\/2019\/11\/09\/image-gradients-and-convolution-mask\/","title":{"rendered":"Image gradients and Convolution mask"},"content":{"rendered":"\n<p><br>For digital image, the gradients of 2D functions can be written as the following:<br><p class=\"ql-center-displayed-equation\" style=\"line-height: 45px;\"><span class=\"ql-right-eqno\"> &nbsp; <\/span><span class=\"ql-left-eqno\"> &nbsp; <\/span><img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/blog.theopenpc.com\/wp-content\/ql-cache\/quicklatex.com-c4bc9a49da93a65d706998b8ee680b5b_l3.png?resize=188%2C45&#038;ssl=1\" height=\"45\" width=\"188\" class=\"ql-img-displayed-equation quicklatex-auto-format\" alt=\"&#92;&#98;&#101;&#103;&#105;&#110;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;&#71;&#95;&#120;&#32;&#38;&#92;&#115;&#105;&#109;&#101;&#113;&#32;&#102;&#91;&#105;&#44;&#32;&#106;&#43;&#49;&#93;&#32;&#45;&#32;&#102;&#91;&#105;&#44;&#32;&#106;&#93;&#92;&#92;&#71;&#95;&#121;&#32;&#38;&#92;&#115;&#105;&#109;&#101;&#113;&#32;&#102;&#91;&#105;&#43;&#49;&#44;&#32;&#106;&#93;&#32;&#45;&#32;&#102;&#91;&#105;&#44;&#32;&#106;&#93;&#44;&#92;&#101;&#110;&#100;&#123;&#97;&#108;&#105;&#103;&#110;&#42;&#125;\" title=\"Rendered by QuickLaTeX.com\" data-recalc-dims=\"1\"\/><\/p><br>noticing that <img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/blog.theopenpc.com\/wp-content\/ql-cache\/quicklatex.com-43c82d5bb00a7568d935a12e3bd969dd_l3.png?resize=9%2C16&#038;ssl=1\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#106;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"9\" style=\"vertical-align: -4px;\" data-recalc-dims=\"1\"\/> corresponds to the <img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/blog.theopenpc.com\/wp-content\/ql-cache\/quicklatex.com-ede05c264bba0eda080918aaa09c4658_l3.png?resize=10%2C8&#038;ssl=1\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" data-recalc-dims=\"1\"\/> direction of the digital image, while <img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/blog.theopenpc.com\/wp-content\/ql-cache\/quicklatex.com-695d9d59bd04859c6c99e7feb11daab6_l3.png?resize=6%2C12&#038;ssl=1\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"6\" style=\"vertical-align: 0px;\" data-recalc-dims=\"1\"\/> corresponds to the <img loading=\"lazy\" src=\"https:\/\/i0.wp.com\/blog.theopenpc.com\/wp-content\/ql-cache\/quicklatex.com-0af556714940c351c933bba8cf840796_l3.png?resize=9%2C12&#038;ssl=1\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#121;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: -4px;\" data-recalc-dims=\"1\"\/> direction of the digital image.<br><br><\/p>\n","protected":false},"excerpt":{"rendered":"<p>For digital image, the gradients of 2D functions can be written as the following: &nbsp; &nbsp; noticing that corresponds to the direction of the digital&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2,3],"tags":[4],"jetpack_featured_media_url":"","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/posts\/22"}],"collection":[{"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":6,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/posts\/22\/revisions"}],"predecessor-version":[{"id":30,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/posts\/22\/revisions\/30"}],"wp:attachment":[{"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/media?parent=22"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/categories?post=22"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.theopenpc.com\/index.php\/wp-json\/wp\/v2\/tags?post=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}